how do we review translations?
you can review translations by going over  your notes about translations and trying out new problems to see if you have grasped the idea of translations

how do we use the other definitions of translations?
you use them to figure out how to get many answers in many different ways

how do we slove composition of transformation problems?
composition of translations: when two or more translations are combined to form a new translation.

In a composition, the first transformation produces an image upon which the second transformation is then performed.

The symbol for a composition of transformations is an open circle.
The notation is read as a reflection in the x-axis following a translation of
(x+3, y+4). Be careful!!! The process is done in reverse!!

You may see various notations which represent a composition of transformations:
could also be indicated by

how do we identify composition of transformations?
given A(3,4) and A1 (-4,7) what is the translation?
translation most likely would mean addition so you add the two points
   (3,4)                                                                                 the translation is   (-1,10) 
+(-4,7)
----------
  (-1,10) 

how do we graph dilations?

Definition of Dilation

• Dilation is a similarity transformation in which a figure is enlarged or reduced using a scale factor

Examples of Dilation

• In the figure shown, triangle ADE is enlarged to triangle ABC using a scale factor 4. Here, A is the center of dilation.

how do you graph rotations?
      a rotation is a trasformation that turns an object around a fixed point
90 degrees          180 degrees     270 degrees
(a,b)--> (-b,a)     (a,b)-->(-a,-b)   (a,b)--> (b,-a)